Semidistributive nearrings with identity
It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring.
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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2024 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2024
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207 |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-2207 |
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oai:ojs.admjournal.luguniv.edu.ua:article-22072024-02-14T18:40:04Z Semidistributive nearrings with identity Raievska, I. Raievska, M. Sysak, Ya. nearring, semidistributive nearring, additive group 16Y30 It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring. Lugansk National Taras Shevchenko University 2024-02-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207 10.12958/adm2207 Algebra and Discrete Mathematics; Vol 36, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207/pdf Copyright (c) 2024 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
nearring semidistributive nearring additive group 16Y30 |
| spellingShingle |
nearring semidistributive nearring additive group 16Y30 Raievska, I. Raievska, M. Sysak, Ya. Semidistributive nearrings with identity |
| topic_facet |
nearring semidistributive nearring additive group 16Y30 |
| format |
Article |
| author |
Raievska, I. Raievska, M. Sysak, Ya. |
| author_facet |
Raievska, I. Raievska, M. Sysak, Ya. |
| author_sort |
Raievska, I. |
| title |
Semidistributive nearrings with identity |
| title_short |
Semidistributive nearrings with identity |
| title_full |
Semidistributive nearrings with identity |
| title_fullStr |
Semidistributive nearrings with identity |
| title_full_unstemmed |
Semidistributive nearrings with identity |
| title_sort |
semidistributive nearrings with identity |
| description |
It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207 |
| work_keys_str_mv |
AT raievskai semidistributivenearringswithidentity AT raievskam semidistributivenearringswithidentity AT sysakya semidistributivenearringswithidentity |
| first_indexed |
2024-04-12T06:13:58Z |
| last_indexed |
2024-04-12T06:13:58Z |
| _version_ |
1804810510122614784 |